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119 LearnersLast updated on March 16th, 2025
17/22 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: numerator (number on the top), here 17, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 22. A decimal is a way to represent a number that is not whole, using a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
What is 17/22 as a decimal?
Answer:
17/22 in decimal form can be written as approximately 0.7727. It is a non-terminating, repeating decimal.
Explanation:
To convert 17/22 to decimal, we will use the division method. Since 17 is smaller than 22, the result will be a decimal less than 1. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (17) will be taken as the dividend and the denominator (22) will be the divisor.
Step 2: Perform the division of 17 by 22, which will yield a decimal result.
Step 3: Since 17 is smaller than 22, place a decimal point in the quotient and add zeros to the dividend.
Step 4: Divide 170 by 22, which gives approximately 7 as the quotient. Subtract 154 (22×7) from 170 to get 16.
Step 5: Bring down another 0, making it 160, then divide by 22 to get approximately 7 again. Subtract 154 from 160 to get 6.
Step 6: Repeat this process, and you will observe that the quotient repeats after a certain point.
The decimal representation of 17/22 is approximately 0.7727, with the digits "72" repeating.
Important Glossaries for 17/22 as a decimal
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
- Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
- Denominator: The bottom part of a fraction, showing how many parts make up a whole.
- Repeating Decimal: A decimal in which one or more digits repeat infinitely.
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